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Finding the Fourth Proportional to 501.95, 752.11 and 398.68

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Solution

The fourth proportional to 501.95, 752.11 and 398.68 is: 597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.95 : 752.11 = 398.68 : x
  2. Step 2: Convert to fraction form
    501.95/752.11 = 398.68/x
  3. Step 3: Cross multiply
    501.95x = 752.11 × 398.68
  4. Step 4: Simplify right side
    501.95x = 299,851.21
  5. Step 5: Solve for x
    x = 299,851.21/501.95
  6. Step 6: Final answer
    x = 597.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.